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Expression simplification/ Factorization polynomials/ x^99+x^98+x^2+1

Factor polynomial x^99+x^98+x^2+1

An expression to simplify:

The solution

You have entered [src] 
 99    98    2    
x   + x   + x  + 1
$$\left(x^{2} + \left(x^{99} + x^{98}\right)\right) + 1$$ 
x^99 + x^98 + x^2 + 1
General simplification [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
Common denominator [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
Numerical answer [src] 
1.0 + x^2 + x^98 + x^99
1.0 + x^2 + x^98 + x^99
Rational denominator [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
Powers [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
Assemble expression [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
Combining rational expressions [src] 
     2 /     96        \
1 + x *\1 + x  *(1 + x)/
$$x^{2} \left(x^{96} \left(x + 1\right) + 1\right) + 1$$ 
1 + x^2*(1 + x^96*(1 + x))
Trigonometric part [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
Combinatorics [src] 
     2    98    99
1 + x  + x   + x
$$x^{99} + x^{98} + x^{2} + 1$$ 
1 + x^2 + x^98 + x^99
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